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인기 문제

순위	주제	문제	형식화된 문제
78401	Solve the Differential Equation	xy''''=(x+1)	$x y'' = (x + 1)$
78402	Solve the Differential Equation	(dy)/(dx)=3x(y+4)^2	$\frac{d y}{d x} = 3 x {(y + 4)}^{2}$
78403	Solve the Differential Equation	(x+ye^(2xy))dx+1xe^(2xy)dy=0	$(x + y e^{2 x y}) d x + 1 x e^{2 x y} d y = 0$
78404	Solve the Differential Equation	(dy)/(dx)=y^2+4	$\frac{d y}{d x} = y^{2} + 4$
78405	Solve the Differential Equation	(dA)/(dt)=1/2(12)(-36)+1/2(5)(15)	$\frac{d A}{d t} = \frac{1}{2} (12) (- 36) + \frac{1}{2} (5) (15)$
78406	Solve the Differential Equation	(dy)/(dx)=3x^2 y 의 제곱근	$\frac{d y}{d x} = 3 x^{2} \sqrt{y}$
78407	Solve the Differential Equation	(4+x)y''''=9y	$(4 + x) y'' = 9 y$
78408	Solve the Differential Equation	(du)/(dr)=(3+ 제곱근 r)/(7+ 제곱근 u)	$\frac{d u}{d r} = \frac{3 + \sqrt{r}}{7 + \sqrt{u}}$
78409	Solve the Differential Equation	3e^xtan(ydx)+(1-e^x)sec(ydy)^2=0	$3 e^{x} \tan (yd x) + (1 - e^{x}) \sec^{2} (yd y) = 0$
78410	Solve the Differential Equation	6(yd)x-6xdy+x^3dx=3dx	$6 yd x - 6 x d y + x^{3} d x = 3 d x$
78411	Solve the Differential Equation	(x+y^2)dx+(2xy+y^2)dy=0	$(x + y^{2}) d x + (2 x y + y^{2}) d y = 0$
78412	Solve the Differential Equation	6(dy^2)/(dx^2)+(8dy)/(dx)+8y=0	$6 \frac{d y^{2}}{d x^{2}} + \frac{8 d y}{d x} + 8 y = 0$
78413	Solve the Differential Equation	(dy)/(dx)=ytan(x)-2sin(x)	$\frac{d y}{d x} = y \tan (x) - 2 \sin (x)$
78414	Solve the Differential Equation	(dy)/(dt)=(2t)/(y(1+t^2))	$\frac{d y}{d t} = \frac{2 t}{y (1 + t^{2})}$
78415	Solve the Differential Equation	e^y(dy)/(dx)=(2 x)/xdx 의 자연로그	$e^{y} \frac{d y}{d x} = \frac{2 \ln (x)}{x} d x$
78416	Solve the Differential Equation	(dy)/(dx)=yx(x+2)	$\frac{d y}{d x} = y x (x + 2)$
78417	Solve the Differential Equation	(y^2+2)dx-x(yd)y=0	$(y^{2} + 2) d x - x yd y = 0$
78418	Solve the Differential Equation	y''''''''+3y''''=3xe^(-3x)	$y'''' + 3 y'' = 3 x e^{- 3 x}$
78419	Solve the Differential Equation	(dx)/(dt)=x^2+1/36 , x(0)=2	$\frac{d x}{d t} = x^{2} + \frac{1}{36}$ , $x (0) = 2$
78420	Solve the Differential Equation	f(x)=(x^3-1)/(x^2-x-72)	$f (x) = \frac{x^{3} - 1}{x^{2} - x - 72}$
78421	Solve the Differential Equation	y''''+8xy^8=0	$y'' + 8 x y^{8} = 0$
78422	Solve the Differential Equation	(dy)/(1+y)=xdx	$\frac{d y}{1 + y} = x d x$
78423	Solve the Differential Equation	(dy)/(dx)=(5x^2)/( 6+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{5 x^{2}}{\sqrt{6 + x^{3}}}$
78424	Solve the Differential Equation	xy''''-y/x=1/x	$x y'' - \frac{y}{x} = \frac{1}{x}$
78425	Solve the Differential Equation	(dy)/(dx)=1+1/x , y(1)=6	$\frac{d y}{d x} = 1 + \frac{1}{x}$ , $y (1) = 6$
78426	Solve the Differential Equation	y''''y-2(y'''')^4+2=0	$y'' y - 2 {(y'')}^{4} + 2 = 0$
78427	Solve the Differential Equation	y''''=19x^3	$y'' = 19 x^{3}$
78428	Solve the Differential Equation	2x+2y*y''''=0	$2 x + 2 y \cdot y'' = 0$
78429	Solve the Differential Equation	(dy)/(dx)=x^2 x-1 의 제곱근	$\frac{d y}{d x} = x^{2} \sqrt{x - 1}$
78430	Solve the Differential Equation	(21+x^2)y''''-2xy=0	$(21 + x^{2}) y'' - 2 x y = 0$
78431	Solve the Differential Equation	xy''''+y=y^2 x 의 로그	$x y'' + y = y^{2} \log (x)$
78432	Solve the Differential Equation	y-x(dy)/(dx)=9x^3	$y - x \frac{d y}{d x} = 9 x^{3}$
78433	Solve the Differential Equation	(dy)/(dx)=cot(x) , y(-1)=8	$\frac{d y}{d x} = \cot (x)$ , $y (- 1) = 8$
78434	Solve the Differential Equation	(xy^2+4y^2)dy-5xdx=0	$(x y^{2} + 4 y^{2}) d y - 5 x d x = 0$
78435	Solve the Differential Equation	(dy)/(dx)=(15-9x^2)/( x^3-5x+9) 의 제곱근	$\frac{d y}{d x} = \frac{15 - 9 x^{2}}{\sqrt{x^{3} - 5 x + 9}}$
78436	Solve the Differential Equation	(dA)/(dt)=t+4	$\frac{d A}{d t} = t + 4$
78437	Solve the Differential Equation	y''''+xy''''+y=0	$y'' + x y'' + y = 0$
78438	Solve the Differential Equation	y''''-2y=e^x	$y'' - 2 y = e^{x}$
78439	Solve the Differential Equation	(5xy^2-2y)dx+(3x^2y-x)dy=0	$(5 x y^{2} - 2 y) d x + (3 x^{2} y - x) d y = 0$
78440	Solve the Differential Equation	(2xy-x)dx+(y^2+x^2)dy=0	$(2 x y - x) d x + (y^{2} + x^{2}) d y = 0$
78441	Solve the Differential Equation	xdy=ydx	$x d y = yd x$
78442	Solve the Differential Equation	(dy)/(dx)=sin(x+3)	$\frac{d y}{d x} = \sin (x + 3)$
78443	Solve the Differential Equation	4y''''+3xy''''+y=0	$4 y'' + 3 x y'' + y = 0$
78444	Solve the Differential Equation	(dy)/(dx)=sin(9x)	$\frac{d y}{d x} = \sin (9 x)$
78445	Solve the Differential Equation	xdy+(3x-2y)dx=0	$x d y + (3 x - 2 y) d x = 0$
78446	Solve the Differential Equation	(3xy-y^2)dx+x(x-y)dy=0	$(3 x y - y^{2}) d x + x (x - y) d y = 0$
78447	Solve the Differential Equation	y''''=x^2e^(2y)	$y'' = x^{2} e^{2 y}$
78448	Solve the Differential Equation	y''''+(y'''')^2+1=0	$y'' + {(y'')}^{2} + 1 = 0$
78449	Solve the Differential Equation	(dy)/(dx)=(x-4)/( x^2-8x+2) 의 제곱근	$\frac{d y}{d x} = \frac{x - 4}{\sqrt{x^{2} - 8 x + 2}}$
78450	Solve the Differential Equation	(d^(2y))/(dx^2)=2x-5	$\frac{d^{2 y}}{d x^{2}} = 2 x - 5$
78451	Solve the Differential Equation	(dy)/(dx)+y/x=x^2y^6	$\frac{d y}{d x} + \frac{y}{x} = x^{2} y^{6}$
78452	Solve the Differential Equation	y''''=x(1-y)	$y'' = x (1 - y)$
78453	Solve the Differential Equation	x=y^-2y''''	$x = y^{- 2} y''$
78454	Solve the Differential Equation	(dy)/(dx)=(3x+8)/(y-1)	$\frac{d y}{d x} = \frac{3 x + 8}{y - 1}$
78455	Solve the Differential Equation	y''''''''''''-3y''''+2y''''=0	$y'''''' - 3 y'' + 2 y'' = 0$
78456	Solve the Differential Equation	(dy)/(dx)=sec(x)tan(x)-e^x	$\frac{d y}{d x} = \sec (x) \tan (x) - e^{x}$
78457	Solve the Differential Equation	(dp)/(dt)=p/3-(p^2)/2100	$\frac{d p}{d t} = \frac{p}{3} - \frac{p^{2}}{2100}$
78458	Solve the Differential Equation	2y''''''''+6y''''+5y=0	$2 y'''' + 6 y'' + 5 y = 0$
78459	Solve the Differential Equation	(5x+4y)(dx)/(dy)+(4x-8y^3)=0	$(5 x + 4 y) \frac{d x}{d y} + (4 x - 8 y^{3}) = 0$
78460	Solve the Differential Equation	(dz)/(dt)=8te^z	$\frac{d z}{d t} = 8 t e^{z}$
78461	Solve the Differential Equation	(dy)/(dx)=5x^(1/6)	$\frac{d y}{d x} = 5 x^{\frac{1}{6}}$
78462	Solve the Differential Equation	(dy)/(dx)=x(1+y^2)	$\frac{d y}{d x} = x (1 + y^{2})$
78463	Solve the Differential Equation	(dy)/(dx)=(sin(x))/(y+2) ; with y(0)=2	$\frac{d y}{d x} = \frac{\sin (x)}{y + 2}$ ; with $y (0) = 2$
78464	Solve the Differential Equation	(dG)/(dt)=1/50(180-G)	$\frac{d G}{d t} = \frac{1}{50} (180 - G)$
78465	Solve the Differential Equation	(dy)/(dx)=(y+2)(y-3) ; where y(0)=4	$\frac{d y}{d x} = (y + 2) (y - 3)$ ; where $y (0) = 4$
78466	Solve the Differential Equation	(dv)/(dt)=9.8-0.196v	$\frac{d v}{d t} = 9.8 - 0.196 v$
78467	Solve the Differential Equation	(dy)/(dx) = square root of xy^2	$\frac{d y}{d x} = \sqrt{x y^{2}}$
78468	Solve the Differential Equation	y''''=1/(1+x^2)	$y'' = \frac{1}{1 + x^{2}}$
78469	Solve the Differential Equation	(x+1)y''''-(2x+3)y=0	$(x + 1) y'' - (2 x + 3) y = 0$
78470	Solve the Differential Equation	x^5+12y(dy)/(dx)=0	$x^{5} + 12 y \frac{d y}{d x} = 0$
78471	Solve the Differential Equation	(dy)/(dx)=(10x^9)/(2e^y)	$\frac{d y}{d x} = \frac{10 x^{9}}{2 e^{y}}$
78472	Solve the Differential Equation	(dy)/(dx)=(xy)/(x+1)	$\frac{d y}{d x} = \frac{x y}{x + 1}$
78473	Solve the Differential Equation	(dy)/(dx)=(4x^3)/(14y)	$\frac{d y}{d x} = \frac{4 x^{3}}{14 y}$
78474	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(7x+5)	$x^{2} \frac{d w}{d x} = \sqrt{w} (7 x + 5)$
78475	Solve the Differential Equation	dx-2(x+y)dy=0	$d x - 2 (x + y) d y = 0$
78476	Solve the Differential Equation	5y''''''''+y''''=0	$5 y'''' + y'' = 0$
78477	Solve the Differential Equation	(dT)/(dx)=-24x^7	$\frac{d T}{d x} = - 24 x^{7}$
78478	Solve the Differential Equation	y''''=4(1-y/40)y	$y'' = 4 (1 - \frac{y}{40}) y$
78479	Solve the Differential Equation	(x+y-1)^2dx-4x^2dy=0	${(x + y - 1)}^{2} d x - 4 x^{2} d y = 0$
78480	Solve the Differential Equation	(dy)/(dx)=sin(2x)y^2	$\frac{d y}{d x} = \sin (2 x) y^{2}$
78481	Solve the Differential Equation	(x-3y-1)dx-(x-3y+5)dy=0	$(x - 3 y - 1) d x - (x - 3 y + 5) d y = 0$
78482	Solve the Differential Equation	(dy)/(dx)=10x-7 and y(9)=0	$\frac{d y}{d x} = 10 x - 7$ and $y (9) = 0$
78483	Solve the Differential Equation	(d^2y)/(dx^2)-4(dy)/(dx)+4y=sin(2x)	$\frac{d^{2} y}{d x^{2}} - 4 \frac{d y}{d x} + 4 y = \sin (2 x)$
78484	Solve the Differential Equation	(dy)/(dx)=x/( x^2+9) 의 제곱근	$\frac{d y}{d x} = \frac{x}{\sqrt{x^{2} + 9}}$
78485	Solve the Differential Equation	(6x+y^2)dx+y(2x+3y)dy=0	$(6 x + y^{2}) d x + y (2 x + 3 y) d y = 0$
78486	Solve the Differential Equation	(dy)/(dx)=6x-5 and y(9)=0	$\frac{d y}{d x} = 6 x - 5$ and $y (9) = 0$
78487	Solve the Differential Equation	(dy)/(dx)=3x^(1/6)	$\frac{d y}{d x} = 3 x^{\frac{1}{6}}$
78488	Solve the Differential Equation	y''''-3y''''+2y=6	$y'' - 3 y'' + 2 y = 6$
78489	Solve the Differential Equation	(6+y^2+xy^2)dx+(x^2+3y+2xy)dy=0	$(6 + y^{2} + x y^{2}) d x + (x^{2} + 3 y + 2 x y) d y = 0$
78490	Solve the Differential Equation	(dy)/(dx)-2xy=3x^2e^(x^2)	$\frac{d y}{d x} - 2 x y = 3 x^{2} e^{x^{2}}$
78491	Solve the Differential Equation	(dy)/(dx)=1/(11 x) , y(4)=0 의 제곱근	$\frac{d y}{d x} = \frac{1}{11 \sqrt{x}}$ , $y (4) = 0$
78492	Solve the Differential Equation	xy''''+x^2y=e^(-(x^2)/2)	$x y'' + x^{2} y = e^{- \frac{x^{2}}{2}}$
78493	Solve the Differential Equation	(du)/(dt)=e^(2u+3t)	$\frac{d u}{d t} = e^{2 u + 3 t}$
78494	Solve the Differential Equation	(dy)/(dx)=2x^(1/6)	$\frac{d y}{d x} = 2 x^{\frac{1}{6}}$
78495	Solve the Differential Equation	(dy)/(dx)=2/(5-x)	$\frac{d y}{d x} = \frac{2}{5 - x}$
78496	Solve the Differential Equation	(dy)/(dx)=1/(2 x) , y(9)=0 의 제곱근	$\frac{d y}{d x} = \frac{1}{2 \sqrt{x}}$ , $y (9) = 0$
78497	Solve the Differential Equation	f(x) = square root of x+9	$f (x) = \sqrt{x + 9}$
78498	Solve the Differential Equation	y''''+y=4	$y'' + y = 4$
78499	Solve the Differential Equation	y''''''''''''-y''''''''+2y=0	$y'''''' - y'''' + 2 y = 0$
78500	Solve the Differential Equation	(dy)/(dx)=6-2cos(3x)	$\frac{d y}{d x} = 6 - 2 \cos (3 x)$